We only need one scripture. You cannot put aside even one.
The old law was not based on faith; the new law is based on faith.
In the new law we no longer have to clean ourselves just to go to the temple to worship God where His Spirit was, for faith that Jesus' blood cleans us after we repent is what cleans us, and we become the temple instead of going to the temple. We are reconciled to God.
No one has to observe special days anymore. All special days are about Jesus. We observe Jesus, not special days.
No one has to be circumcised anymore. The Holy Spirit circumcises our hearts.
No one has to sacrifice animals. Jesus is the Sacrificial Lamb of God.
No one has to be put to death for adultery, and other such sins. No one has to give an eye for an eye, or a tooth for a tooth, etc. We find mercy and forgiveness through Jesus. We have mercy and forgiveness through Jesus, and we are also to give mercy and forgiveness to others.
The old law was about earthly man. The new law is about Spiritual things.
It is not clear what you believe the new law you are referring to is (no verse says new law) and if you believe you should be clean whether you go to the temple or not. And, my understanding is there presently is no temple as the temple was destroyed in AD 70.